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Finding the Fourth Proportional to 31,714.48, 43,783.68 and 21,658

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Solution

The fourth proportional to 31,714.48, 43,783.68 and 21,658 is: 29,900.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,714.48 : 43,783.68 = 21,658 : x
  2. Step 2: Convert to fraction form
    31,714.48/43,783.68 = 21,658/x
  3. Step 3: Cross multiply
    31,714.48x = 43,783.68 × 21,658
  4. Step 4: Simplify right side
    31,714.48x = 948,266,941.44
  5. Step 5: Solve for x
    x = 948,266,941.44/31,714.48
  6. Step 6: Final answer
    x = 29,900.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.